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Finding the Fourth Proportional to 531.02, 793.39 and 512.86

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Solution

The fourth proportional to 531.02, 793.39 and 512.86 is: 766.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.02 : 793.39 = 512.86 : x
  2. Step 2: Convert to fraction form
    531.02/793.39 = 512.86/x
  3. Step 3: Cross multiply
    531.02x = 793.39 × 512.86
  4. Step 4: Simplify right side
    531.02x = 406,898.00
  5. Step 5: Solve for x
    x = 406,898.00/531.02
  6. Step 6: Final answer
    x = 766.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.